49ed6: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[Ed6|Division of the sixth harmonic]] into 49 equal parts''' (49ED6) is very nearly identical to [[19edo|19 EDO]], but with the [[6/1]] rather than the 2/1 being just. It is a stretched version of [[19edo|19edo]] and extremely close to the [[The_Riemann_Zeta_Function_and_Tuning|zeta peak]], thus minimizing relative error as much as possible. Because 19edo itself is a flat-tending system, stretching the octave improves the overall tuning accuracy.
'''[[Ed6|Division of the sixth harmonic]] into 49 equal parts''' (49ED6) is very nearly identical to [[19edo|19 EDO]], but with the [[6/1]] rather than the 2/1 being just. It is extremely close to the [[The Riemann zeta function and tuning|zeta peak]] near 19, thus minimizing relative error as much as possible. Because 19edo itself is a flat-tending system, stretching the octave improves the overall tuning accuracy.


The fifth is ~ 696.36 cents; about 1/4 of a cent flatter than the fifth of quarter-comma meantone, or half a cent flatter than the fifth of [[31edo|31edo]]. The fourth is less accurate than in 19edo, and is close in size to a [[Flattone|flattone]] fourth.
The fifth is ~ 696.36 cents; about 1/4 of a cent flatter than the fifth of quarter-comma meantone, or half a cent flatter than the fifth of [[31edo|31edo]]. The fourth is less accurate than in 19edo, and is close in size to a [[Flattone|flattone]] fourth.